(3v^5+8v^3-10v^2)-(-12v^5+4v^3+14v^3)=

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Solution for (3v^5+8v^3-10v^2)-(-12v^5+4v^3+14v^3)= equation: 


Simplifying
(3v5 + 8v3 + -10v2) + -1(-12v5 + 4v3 + 14v3) = 0

Reorder the terms:
(-10v2 + 8v3 + 3v5) + -1(-12v5 + 4v3 + 14v3) = 0

Remove parenthesis around (-10v2 + 8v3 + 3v5)
-10v2 + 8v3 + 3v5 + -1(-12v5 + 4v3 + 14v3) = 0

Reorder the terms:
-10v2 + 8v3 + 3v5 + -1(4v3 + 14v3 + -12v5) = 0

Combine like terms: 4v3 + 14v3 = 18v3
-10v2 + 8v3 + 3v5 + -1(18v3 + -12v5) = 0
-10v2 + 8v3 + 3v5 + (18v3 * -1 + -12v5 * -1) = 0
-10v2 + 8v3 + 3v5 + (-18v3 + 12v5) = 0

Reorder the terms:
-10v2 + 8v3 + -18v3 + 3v5 + 12v5 = 0

Combine like terms: 8v3 + -18v3 = -10v3
-10v2 + -10v3 + 3v5 + 12v5 = 0

Combine like terms: 3v5 + 12v5 = 15v5
-10v2 + -10v3 + 15v5 = 0

Solving
-10v2 + -10v3 + 15v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v2'.
5v2(-2 + -2v + 3v3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

Move all terms containing v to the left, all other terms to the right.

Simplifying
v2 = 0

Take the square root of each side:
v = {0}

Subproblem 2
Set the factor '(-2 + -2v + 3v3)' equal to zero and attempt to solve:

Simplifying
-2 + -2v + 3v3 = 0

Solving
-2 + -2v + 3v3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
v = {0}

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